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Finding the Fourth Proportional to 56.17, 77.49 and 39.77

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Solution

The fourth proportional to 56.17, 77.49 and 39.77 is: 54.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.17 : 77.49 = 39.77 : x
  2. Step 2: Convert to fraction form
    56.17/77.49 = 39.77/x
  3. Step 3: Cross multiply
    56.17x = 77.49 × 39.77
  4. Step 4: Simplify right side
    56.17x = 3,081.68
  5. Step 5: Solve for x
    x = 3,081.68/56.17
  6. Step 6: Final answer
    x = 54.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.